No doubt lithiums are awesome batteries, with very high power to weight ratios. And I totally agree that a high powered alternator (or 2, or 4
with a nice strong lithium bank is a great way to go. Still, their is no doubt in my mind that keeping all of that < but adding some nice super capacitors will add dynamic range to the music, by giving more instantaneous power bursts. Lithium is definitely "faster" at making juice, than lead acid / AGM's, but its not even close to a super capacitor.
Really, I can only think of one (well kind of two) advantages to creating a ton of power, and running a bunch of supercaps, with no actual batteries... 1) Is that you will always see voltage drop when a big system is being beat really hard.... Albeit much less with lithium, than with lead acid. Whereas, "if" you can make enough power (meaning, making more continuously, than your system will use at full tilt... although a bunch of caps will add a little buffer) to begin with, you would see "zero voltage drop".
2) You would have something that few (no ?) others do
BTW, I mentioned it earlier, and I won't bother to go into any detail, but I do know how a large, strong vehicle could make enough amps continuously, to power a 60 or 80K system. It would take about 100 to 150hp from the motor though. A big strong diesel motor would probably be the best, to do that without having to revved too high. So far as I know, this has never been done for a high powered car stereo system. But its done all the time in industrial vehicles, for other purposes.